137156013 has 12 divisors (see below), whose sum is σ = 198451708. Its totient is φ = 91281600.

The previous prime is 137156009. The next prime is 137156021. The reversal of 137156013 is 310651731.

137156013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 81757764 + 55398249 = 9042^2 + 7443^2 .

It is not a de Polignac number, because 137156013 - 2² = 137156009 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137156023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7270 + ... + 18087.

Almost surely, 2^137156013 is an apocalyptic number.

It is an amenable number.

137156013 is a deficient number, since it is larger than the sum of its proper divisors (61295695).

137156013 is a wasteful number, since it uses less digits than its factorization.

137156013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25964 (or 25961 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 137156013 is about 11711.3625594975. The cubic root of 137156013 is about 515.7092850428.

The spelling of 137156013 in words is "one hundred thirty-seven million, one hundred fifty-six thousand, thirteen".